Question

Two cylindrical vessels are connected by a horizontal tube and filled with water. The cylindrical vessels are fitted with pistons $A$ and $B$ to make a hydraulic machine. The area of piston $A$ is $\frac{1}{2}$ times the area of piston $B$. If a force of $15\text{N}$ is applied on piston $B$, what will be the force experienced by piston $A$.

• A. $30\text{N}$
• B. $7.5\text{N}$
• C. $15\text{N}$
• D. $5\text{N}$

Answer 1

The correct option is B $7.5\text{N}$

Pressure at $A=$ Pressure at $B$
$\frac{F_A}{A_A}=\frac{F_B}{A_B}$
$\frac{2F_A}{A_B}=\frac{15}{A_B}$
$F_A=7.5\text{N}$